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Finding the Fourth Proportional to 375,042.52, 517,558.86 and 205,277.56

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Solution

The fourth proportional to 375,042.52, 517,558.86 and 205,277.56 is: 283,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,042.52 : 517,558.86 = 205,277.56 : x
  2. Step 2: Convert to fraction form
    375,042.52/517,558.86 = 205,277.56/x
  3. Step 3: Cross multiply
    375,042.52x = 517,558.86 × 205,277.56
  4. Step 4: Simplify right side
    375,042.52x = 106,243,219,937.18
  5. Step 5: Solve for x
    x = 106,243,219,937.18/375,042.52
  6. Step 6: Final answer
    x = 283,283.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.